WENO schemes for mixed-elementunstructured meshes

V. A. Titarev, P. Tsoutsanis, D. Drikakis

Research output: Contribution to journalArticle

63 Citations (Scopus)

Abstract

The paper extends weighted essentially non-oscillatory (WENO) schemes to two-dimensional quadrilateral and mixed-element unstructured meshes. The key element of the proposed methods is a reconstruction procedure suitable for arbitrarily-shaped cells. The resulting schemes achieve the designed uniformly high-order of accuracy and compute discontinuous solutions without spurious oscillations at interfaces between cells of two different types.
Original languageEnglish
Pages (from-to)585-609
Number of pages25
JournalCommunications in Computational Physics
Volume8
Issue number3
DOIs
Publication statusPublished - 15 Apr 2010

Keywords

  • WENO
  • unstructured
  • mixed-element
  • triangular
  • quadrilateral
  • finite volume

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